Complete minimal surfaces in \(\mathbb{R}^ 3\) with type Enneper end
type: Item
instance of: scholarly article
title: Complete minimal surfaces in \(\mathbb{R}^ 3\) with type Enneper end
zbMATH Open document ID: 0803.53006
author: Nedir do Espírito-Santo
publication date: 1994-12-18T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75072
review text: We show that there exists a complete minimal surface immersed into \(\mathbb{R}^ 3\) which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. Furthermore, the end of the surface is of Enneper type and its total curvature is \(-16 \pi\).
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 672151
zbMATH Keywords: complete minimal surface
zbMATH Keywords: conformally equivalent
zbMATH Keywords: Riemann surface
zbMATH Keywords: Enneper type
zbMATH Keywords: total curvature
MaRDI profile type: Publication
OpenAlex ID: W2067683415
cites work: Elliptische und hyperelliptische Funktionen und vollständige Minimalflächen vom Enneperschen Typ
cites work: Q4692943
cites work: On subharmonic functions and differential geometry in the large
cites work: The topology of complete minimal surfaces of finite total Gaussian curvature
cites work: Q5611582
DOI: 10.5802/AIF.1408
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 672151